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"Lesson Activities"
Draw a triangle with angles x, (45 + x) and (45 – x) degrees.
What does Pythagoras Theorem tell you about these angles?
Use this information to find this sum of squares of sines:
Click here to download the DEGREE CEREMONY worksheet.
See the AIMSSEC Notes for Teachers.
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Put the missing symbol into the box to make these number sentences correct.
Use the symbols +, −, ×, ÷ and =.
17 ☐ 21 = 38
17 ☐ 3 = 51
57 ☐ 29 = 28
9 ☐ 63 ÷ 7
You can make most of the number sentences below correct by putting in […]
Two ships are heading towards a lighthouse on the same path, one behind the other. From a height of 42 metre the closer ship is observed at an angle of depression θ where tan θ = ⅘ and the other ship at an angle of depression of 30 degrees. Draw a diagram.
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A climber is stuck on a cliff face. A rescue worker on the ground is 200 m from the bottom of the cliff. The angles of elevation of the climber and of the top of the cliff as seen by the rescuer are 45 degrees and 60 degrees respectively. Draw a diagram.
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Put these temperatures in order from the coldest to the hottest:
– Boiling water – Normal temperature of human body – Ice – The sun – Water in a swimming pool – Temperature in the shade on a hot summer day.
In the diagram ASRC and BCQP are squares and PU and ST are perpendicular to the straight line TABU.
Prove that PU + ST = AB.
Here are three views of the same cube.
One face (not shown) is plain yellow.
The other five faces have squares on them coloured blue, orange, pink, green and red.
Which face is opposite the blue one?
Draw a net of this cube and label the six faces.
This model is made with 33 small cubes.
You see three different views:
when you look you look straight down from above (the plan) when you look straight at the model from the side (side view) when you look straight at the model from the front (front view). […]
Class 4 have made a bar chart showing the months of their birthdays.
Which is the month with no birthdays?
Which months have four birthdays?
How many children are in the class?
Make a birthday bar chart for your class by writing your name or initials in one […]
This shape is an equilateral triangle sitting on top of a square.
What is the radius of the circle that circumscribes the shape?
Click here for a hint if you need one to get started.
Click here for the Notes for Teachers.
Click here for the ENCIRCLING poster.
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